Your Turn! EXAMPLES: Simplify each expression Product Rule: Remember to deal with the coefficients separately. A) B)
Quotient Rule: Coefficients (numbers) are divided, exponents are subtracted. C) D)
Zero Exponent Rule: Anything with an exponent of zero should be changed to a 1 E) F)
Negative Exponent Rule: Move ONLY the variable that the exponent is attached to. If it’s outside parentheses, move everything within the parentheses. G) H) H) I) J)
Power Rule: If you raise a power to a power, you are multiplying it by itself, therefore, you must raise any coefficient to the power outside the parentheses, and multiply all exponents. K) L) M) N) O) P)
Examples: Write the following in scientific notation.
REVERSING THE PROCESS (going from scientific notation to decimal notation): Look at the exponent on the 10. If the exponent is negative, move the decimal N spaces to the left (toward the negative end of the number line). If the exponent is positive, move the decimal N spaces to the right (toward the positive end of the number line).
Examples: Write the following in decimal notation.
MULTIPLYING & DIVIDING WITH SCIENTIFIC NOTATION. Follow the usual rules of exponents, except separate the pieces. Simplify the numbers, then add/subtract the exponents on the 10’s.